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Finding the Fourth Proportional to 588.83, 812.81 and 367.83

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Solution

The fourth proportional to 588.83, 812.81 and 367.83 is: 507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.83 : 812.81 = 367.83 : x
  2. Step 2: Convert to fraction form
    588.83/812.81 = 367.83/x
  3. Step 3: Cross multiply
    588.83x = 812.81 × 367.83
  4. Step 4: Simplify right side
    588.83x = 298,976.82
  5. Step 5: Solve for x
    x = 298,976.82/588.83
  6. Step 6: Final answer
    x = 507.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.